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Wyszukujesz frazę "quadratic stability" wg kryterium: Temat

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    Wyświetlanie 1-15 z 15
    Tytuł:
    A new fuzzy Lyapunov approach to non-quadratic stabilization of Takagi-Sugeno fuzzy models
    Autorzy:
    Abdelmalek, I.
    Goléa, N.
    Hadjili, M. L.
    Powiązania:
    https://bibliotekanauki.pl/articles/911242.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    liniowe nierówności macierzowe
    stabilizacja
    funkcja Lapunowa
    model Takagi-Sugeno
    system rozmyty
    T-S fuzzy systems
    non-quadratic stability conditions
    linear matrix inequalities
    parallel distributed compensation
    stabilization
    Opis:
    In this paper, new non-quadratic stability conditions are derived based on the parallel distributed compensation scheme to stabilize Takagi-Sugeno (T-S) fuzzy systems. We use a non-quadratic Lyapunov function as a fuzzy mixture of multiple quadratic Lyapunov functions. The quadratic Lyapunov functions share the same membership functions with the T-S fuzzy model. The stability conditions we propose are less conservative and stabilize also fuzzy systems which do not admit a quadratic stabilization. The proposed approach is based on two assumptions. The first one relates to a proportional relation between multiple Lyapunov functions and the second one considers an upper bound to the time derivative of the premise membership functions. To illustrate the advantages of our proposal, four examples are given.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2007, 17, 1; 39-51
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Design of linear feedback for bilinear control systems
    Autorzy:
    Belozyorov, V. Y.
    Powiązania:
    https://bibliotekanauki.pl/articles/908500.pdf
    Data publikacji:
    2002
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    matematyka
    system of ordinary quadratic differential equations
    bilinear control system
    linear control law
    cone of stability
    feedback
    closed-loop system
    Opis:
    Sufficient conditions for the conditional stability of trivial solutions for quadratic systems of ordinary differential equations are obtained. These conditions are then used to design linear control laws on the output for a bilinear system of any order. In the case of a homogeneous system, a domain of the conditional stability is also indicated (it is a cone). Some examples are given.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2002, 12, 4; 493-511
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the existence of a common solution to the Lyapunov equations
    Autorzy:
    Białas, S.
    Góra, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/201354.pdf
    Data publikacji:
    2015
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    common quadratic Lyapunov functions
    switched system
    robust stability
    funkcje kwadratowe Lapunowa
    system przełączników
    wysoka stabilność
    Opis:
    In this paper, a system of Lyapunov equations A*i P + PAi = −Qi (i = 1, . . . ,m), (A) is considered in which Ai are given n × n complex matrices, Qi are unknown n × n Hermitian positive definite matrices and P, if any, is a common solution to the Lyapunov equations (A). Both sufficient and necessary and sufficient conditions are derived for the existence of such a matrix P. Examples are presented to illustrate the results.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2015, 63, 1; 163--168
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stability of the Popoviviu type functional equations on groups
    Autorzy:
    Chudziak, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/255750.pdf
    Data publikacji:
    2011
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    stability
    Popoviciu equation
    quadratic equation
    additive function
    Opis:
    We consider the stability problem for a class of functional equations related to the Popoviciu equation.
    Źródło:
    Opuscula Mathematica; 2011, 31, 3; 317-325
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    H-infinity control of discrete-time linear systems constrained in state by equality constraints
    Autorzy:
    Filasová, A.
    Krokavec, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/330125.pdf
    Data publikacji:
    2012
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    układ dyskretny
    liniowa nierówność macierzowa
    sprzężenie zwrotne
    algorytm sterowania
    układ singularny
    equality constraints
    discrete time systems
    linear matrix inequality
    state feedback
    control algorithms
    quadratic stability
    singular systems
    Opis:
    In this paper, stabilizing problems in control design are addressed for linear discrete-time systems, reflecting equality constraints tying together some state variables. Based on an enhanced representation of the bounded real lemma for discrete-time systems, the existence of a state feedback control for such conditioned stabilization is proven, and an LMI-based design procedure is provided. The control law gain computation method used circumvents generally an ill-conditioned singular design task. The principle, when compared with previously published results, indicates that the proposed method outper forms the existing approaches, guarantees feasibility, and improves the steady-state accuracy of the control. Furthermore, better performance is achieved with essentially reduced design effort. The approach is illustrated on simulation examples, where the validity of the proposed method is demonstrated using one state equality constraint.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2012, 22, 3; 551-560
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the stability of continuous-time positive switched systems with rank one difference
    Autorzy:
    Fornasini, E.
    Valcher, M. E.
    Powiązania:
    https://bibliotekanauki.pl/articles/971053.pdf
    Data publikacji:
    2013
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    switched system
    positive linear system
    asymptotic stability
    linear copositive Lyapunov function quadratic Lyapunov function
    Opis:
    Continuous-time positive systems, switching among p subsystems whose matrices differ by a rank one matrix, are introduced, and a complete characterization of the existence of a common linear copositive Lyapunov function for all the subsystems is provided. Also, for this class of systems it is proved that a well-known necessary condition for asymptotic stability, namely the fact that All convex combinations of the system matrices are Hurwitz, becomes equivalent to the generally weaker condition that the systems matrices are Hurwitz. In the special case of two-dimensional systems, this allows for drawing a complete characterization of asymptotic stability. Finally, the case when there are only two subsystems, possibly with commuting matrices, is investigated.
    Źródło:
    Control and Cybernetics; 2013, 42, 1; 47-62
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Robust switched controller design for linear continuous-time systems
    Autorzy:
    Ilka, A.
    Veselý, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/229858.pdf
    Data publikacji:
    2015
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    switched system
    robust controller
    output feedback
    quadratic stability
    multi parameter dependent quadratic stability
    Opis:
    In this paper we study a novel approach to the design of a robust switched controller for continuous-time systems described by a novel robust plant model using quadratic stability and multi parameter dependent quadratic stability approaches. In the proposed design procedure with an output feedback a novel quadratic cost function is proposed which allows to obtain different performance dependence on the working points. Finally a numerical examples are investigated.
    Źródło:
    Archives of Control Sciences; 2015, 25, 4; 401-416
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Remarks on the stability of some quadratic functional equations
    Autorzy:
    Kominek, Z.
    Powiązania:
    https://bibliotekanauki.pl/articles/255399.pdf
    Data publikacji:
    2008
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    quadratic functional equations
    stability
    Opis:
    Stability problems concerning the functional equations of the form f(2x + y) = 4ƒ(x) + ƒ(y) + ƒ(x + y) - ƒ(x - y), and ƒ(2x + y) + ƒ(2x -y) = 8ƒ(x) + 2ƒ(y) are investigated. We prove that if the norm of the difference between the LHS and the RHS of one of equations (1) or (2), calculated for a function g is say, dominated by a function φ in two variables having some standard properties then there exists a unique solution ƒ of this equation and the norm of the difference between g and ƒ is controlled by a function depending on φ.
    Źródło:
    Opuscula Mathematica; 2008, 28, 4; 517-527
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stabilization of linear systems in random horizon via control
    Autorzy:
    Kozłowski, E.
    Powiązania:
    https://bibliotekanauki.pl/articles/206800.pdf
    Data publikacji:
    2013
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    optimal control
    linear quadratic control
    random horizon
    stability
    Opis:
    The control problem with random horizon at finie number of events is investigated in this paper, where the general aim of control is the stabilization (in mean square sense) of linear system at minimum cost. This problem is reduced to the task of optima control with established finite horizon. Moreover, the differences between stabilization with fixed and random horizons are also given. To illustrate those differences a numerical example is included.
    Źródło:
    Control and Cybernetics; 2013, 42, 2; 527-541
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A computationally efficient stable dual-mode type nonlinear predictive control algorithm
    Autorzy:
    Ławryńczuk, M.
    Tadej, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/971003.pdf
    Data publikacji:
    2008
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    linearyzacja
    optymalizacja
    stabilność
    nonlinear model predictive control
    dual-mode model predictive control
    process control
    linearisation
    optimisation
    quadratic programming
    stability
    constraints
    terminal set
    Opis:
    This paper describes a computationally efficient (sub-optimal) nonlinear predictive control algorithm. The algorithm uses a modified dual-mode approach which guarantees closed-loop stability. In order to reduce the computational burden, instead of online nonlinear optimisation used in the classical dual-mode control scheme, a nonlinear model of the plant is linearised on-line and a quadratic programming problem is solved. Calculation of the terminal set and implementation steps of the algorithm are detailed, especially for input-output models, which are widely used in practice.
    Źródło:
    Control and Cybernetics; 2008, 37, 1; 99-132
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An infinite horizon predictive control algorithm based on multivariable input-output models
    Autorzy:
    Ławryńczuk, M.
    Tatjewski, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/907410.pdf
    Data publikacji:
    2004
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    sterowanie predykcyjne
    horyzont nieskończony
    programowanie kwadratowe
    model predictive control
    stability
    infinite horizon
    singular value decomposition
    quadratic programming
    Opis:
    In this paper an infinite horizon predictive control algorithm, for which closed loop stability is guaranteed, is developed in the framework of multivariable linear input-output models. The original infinite dimensional optimisation problem is transformed into a finite dimensional one with a penalty term. In the unconstrained case the stabilising control law, using a numerically reliable SVD decomposition, is derived as an analytical formula, calculated off-line. Considering constraints needs solving on-line a quadratic programming problem. Additionally, it is shown how free and forced responses can be calculated without the necessity of solving a matrix Diophantine equation.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2004, 14, 2; 167-180
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Robust output feedback Model Predictive Control design
    Autorzy:
    Vesely, V.
    Rosinova, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/229853.pdf
    Data publikacji:
    2010
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    model predictive control
    robust control
    parameter dependent quadratic stability
    Lyapunov functional
    polytopic system
    decentralized control
    Opis:
    The paper addresses the problem of designing a robust output/state model predictive control for linear polytopic systems without constraints. The new robust BMI stability condition for given predictive and control horizon is derived which guarantees the parameter dependent quadratic stability and guaranteed cost.The proposed condition is appropriate for centralized and decentralized control design, as illustrated on example.
    Źródło:
    Archives of Control Sciences; 2010, 20, 3; 303-316
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Robust output predictive sequential controller design
    Autorzy:
    Vesely, V.
    Rosinova, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/229887.pdf
    Data publikacji:
    2010
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    model predictive control
    robust control
    parameter dependent quadratic stability
    Lyapunov function
    polytopic system
    sequential approach
    Opis:
    The paper addresses design problem of a robust parameter dependent quadratically stabilizing output/state feedback model predictive control for linear polytopic systems without constraints using original equential approach. The design procedure ensures stability, robustness properties and guaranteed cost for the closed-loop uncertain system
    Źródło:
    Archives of Control Sciences; 2010, 20, 1; 31-46
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A unified approach to stability analysis of switched linear descriptor systems under arbitrary switching
    Autorzy:
    Zhai, G.
    Xu, X.
    Powiązania:
    https://bibliotekanauki.pl/articles/907764.pdf
    Data publikacji:
    2010
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    układ komutowany
    układ deskrypcyjny
    stabilność
    komutacja dowolna
    nierówność macierzy
    LMI
    switched linear descriptor systems
    stability
    arbitrary switching
    linear matrix inequalities (LMIs)
    common quadratic Lyapunov functions
    Opis:
    We establish a unified approach to stability analysis for switched linear descriptor systems under arbitrary switching in both continuous-time and discrete-time domains. The approach is based on common quadratic Lyapunov functions incorporated with linear matrix inequalities (LMIs). We show that if there is a common quadratic Lyapunov function for the stability of all subsystems, then the switched system is stable under arbitrary switching. The analysis results are natural extensions of the existing results for switched linear state space systems.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2010, 20, 2; 249-259
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Extended Lie algebraic stability analysis for switched systems with continuous-time and discrete–time subsystems
    Autorzy:
    Zhai, G.
    Xu, X.
    Lin, H.
    Liu, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/929816.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    układ komutowany
    funkcja Lapunowa
    algebra Lie'go
    stateczność wykładnicza
    switched systems
    common quadratic Lyapunov functions
    Lie algebra
    exponential stability
    arbitrary switching
    dwell time scheme
    Opis:
    We analyze stability for switched systems which are composed of both continuous-time and discrete-time subsystems. By considering a Lie algebra generated by all subsystem matrices, we show that if all subsystems are Hurwitz/Schur stable and this Lie algebra is solvable, then there is a common quadratic Lyapunov function for all subsystems and thus the switched system is exponentially stable under arbitrary switching. When not all subsystems are stable and the same Lie algebra is solvable, we show that there is a common quadratic Lyapunov-like function for all subsystems and the switched system is exponentially stable under a dwell time scheme. Two numerical examples are provided to demonstrate the result.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2007, 17, 4; 447-454
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-15 z 15

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